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College Algebra / Unit 7   Alg 352 short lesson, about 20 seconds

End Behavior

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The idea

End behavior describes a graph's two arms — where the outputs head as the inputs run far positive and far negative.

In practice

For f(x) = x³: f(10) = 1000 and f(−10) = −1000 — the right arm climbs without bound, the left arm falls without bound.

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